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Finding the Fourth Proportional to 83,722.82, 115,409.48 and 51,397.74

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Solution

The fourth proportional to 83,722.82, 115,409.48 and 51,397.74 is: 70,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.82 : 115,409.48 = 51,397.74 : x
  2. Step 2: Convert to fraction form
    83,722.82/115,409.48 = 51,397.74/x
  3. Step 3: Cross multiply
    83,722.82x = 115,409.48 × 51,397.74
  4. Step 4: Simplify right side
    83,722.82x = 5,931,786,189.59
  5. Step 5: Solve for x
    x = 5,931,786,189.59/83,722.82
  6. Step 6: Final answer
    x = 70,850.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.